4024/13 May/Jun 2025, Question 13: Pythagoras' Theorem
Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 5 marks
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The question, in short
Trapezium with parallel sides 6 cm and 9 cm and perpendicular height 4 cm; find its area and its perimeter.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
Calculate the area of the trapezium using the two parallel side lengths and the height.
- 1Area = 1/2 × 4 × (6 + 9)
- 2= 1/2 × 4 × 15 = 30 cm²
Answer30
Part (b) · 3 marks
Calculate the perimeter, using the diagram to find the slanted side length.
- 1Sloping side² = (9 − 6)² + 4² = 9 + 16 = 25
- 2Sloping side = √25 = 5 cm
- 3Perimeter = 9 + 6 + 4 + 5 = 24 cm
Answer24
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Also searched as: 4024/13/M/J/25 · 4024_s25_qp_13 · 4024 s25 13 · question 13.
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